Would office still be there if I fresh install?

Got this baby on ebay, I'm loving it so far, but I noticed it only came with 8GB right off the bat and that I only have around 3.55GB to work with. Now I'm considering to do a fresh install so that I can start from scratch and get a lot more space to work with.. Thing is, I don't know if Office will still be there if I fresh install, and whenever I go to the My account page in Office on the webpage, it says I don't have it so I can't reinstall Office from there. I activated Office using the code that came with the tablet. I asked on the Microsoft community forum, but only got 1 vague reply, so I'm trying my look on the good ol' WP forums :D
EDIT- nice guy at MS support said I could, as long as I use the same code.

If you have windows 8 you can move the apps to sd card, sadly you need to do a reg hack or use a junction for it work in windows 8.1 and above. I haven't tried the latter, as I don't have a RT tablet or x86 tablet running W8 myself.

Microsoft actually has the license linked to your Microsoft account... So when I had to do my restart this week, I had to click the Office icon, at which point it asked me what I wanted to do. I told it to download my Office 2013 license #1 and I had no issues at all.